From 0cbabee6719487b54a2cde386c879d846d91a826 Mon Sep 17 00:00:00 2001 From: dothinking Date: Sat, 30 Mar 2024 16:02:34 +0800 Subject: [PATCH] update post due to jssp framework upgrading --- ...\274\232Python\345\273\272\346\250\241.md" | 154 +++++++++++------- ...37\346\261\202\350\247\243\345\231\250.md" | 25 +-- ...07\346\264\276\347\256\227\346\263\225.md" | 20 +-- ...02\350\247\243\346\241\206\346\236\266.md" | 16 +- docs/images/2021-08-14-01.png | Bin 72043 -> 26369 bytes docs/images/2021-08-14-02.png | Bin 0 -> 121263 bytes 6 files changed, 119 insertions(+), 96 deletions(-) create mode 100644 docs/images/2021-08-14-02.png diff --git "a/docs/2021-08-14-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232Python\345\273\272\346\250\241.md" "b/docs/2021-08-14-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232Python\345\273\272\346\250\241.md" index 11002a4..7f7be4c 100644 --- "a/docs/2021-08-14-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232Python\345\273\272\346\250\241.md" +++ "b/docs/2021-08-14-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232Python\345\273\272\346\250\241.md" @@ -16,7 +16,7 @@ tags: [job shop schedule] 整个求解框架基于Python面向对象编程实现,主要结构参考下图。 -![class-diagram](images/2021-08-14-01.png) +![class-diagram](https://raw.githubusercontent.com/dothinking/jsp_framework/master/doc/images/class.drawio.png) 其中,所有对象按用途可以归为三类: @@ -27,85 +27,100 @@ tags: [job shop schedule] - `Job` 作业实体 - `Machine` 机器实体 - `Operation` 工序实体,包含所属作业、分配的机器、加工时长等属性 +- `JSProblem` 是所有工序实体 `Operation` 的封装 ### (2)求解变量 `OperationStep`是工序实体`Operation` 的封装,同时加上待求解的参数 `start_time`。根据前文关于作业车间问题的两种不同的描述方式,相应有两种不同的求解思路: -- 对于以`start_time`为变量描述的数学模型,直接求解`start_time`即可 -- 对于以 **析取图** 描述的模型,需要先求解工序的顺序,然后递推出`start_time` +- 对于以`start_time`为变量描述的数学模型,直接求解`start_time`即可。 +- 对于以 **析取图** 描述的模型,需要先求解工序的顺序,然后递推出`start_time`。 因此,对于析取图描述的模型,还提供了以下中间属性: -- 继承自 `JobStep` 的 `pre_job_op` 和 `next_job_op`,分别表示当前工序在所属作业实体上的顺序:前一道工序和下一道工序;并且,它们是已知的。 +- `pre_job_op` 和 `next_job_op`,分别表示当前工序在所属作业实体上的顺序:前一道工序和下一道工序;并且,它们是已知的。 -- 继承自 `MachineStep` 的 `pre_machine_op` 和 `next_machine_op`,分别表示当前工序在分配机器上的加工顺序:前一道工序和下一道工序;注意这个顺序即为需要求解的变量。 +- `pre_machine_op` 和 `next_machine_op`,分别表示当前工序在分配机器上的加工顺序:前一道工序和下一道工序;注意这个顺序即为需要求解的变量。 ### (3)求解流程 -`JSProblem` 是所有工序实体 `Operation` 的封装: +- `JSSolver` 是作业车间调度问题求解器的基类,便于继承此基类后实施新算法。 -- 它的解为一个`JSSolution`实例 -- 每当获得一个更好的解,**需要使用`update_solution()`方法显式更新** + - 它的解为一个`JSSolution`实例 + - 每当获得一个更好的解,**需要使用`update_solution(sol)`方法显式更新** -`JSSolution` 是所有变量 `OperationStep` 的封装: +- `JSSolution` 是所有 `OperationStep` 的封装: -- 对于析取图求解模型,需要显式地调用 `evaluate()` 来基于求解的顺序计算最终变量 `start_time`;基于数学模型则无需这一步。 + - `is_feasible`属性判断当前解是否满足所有约束;如果是一个可行解,`makespan`属性得到最大加工周期长度。 + - 此外,还有一些后处理作图方法,例如甘特图和析取图。 -- `is_feasible()` 判断一个解是否满足所有约束 - -- 如果是一个可行解,`makespan`属性得到最大加工周期长度 - - -`JSSolver` 是作业车间调度问题求解器的基类,便于继承此基类后实施新算法。 ## 实施新算法 -以上的设计可以避免重复工作,从而专注于算法本身的实现和测试。基于此框架,实施新算法的只需创建自定义求解器类,然后继承 `JSSolver` 并实现 `do_solver()` 方法。`do_solver()` 方法内部主要分为三大步骤: +以上的设计可以避免重复工作,从而专注于算法本身的实现和测试。基于此框架,实施新算法只需创建自定义求解器类,然后继承 `JSSolver` 并实现 `do_solver()` 方法。`do_solver()` 方法内部主要分为三大步骤: -- 基于问题创建初始状态的解(注意并非可行的 **初始解**) +- 基于问题创建初始状态的解(注意并非可行的 **初始解**)。 ```python - solution = JSSolution(problem) + # direct_mode 指明是直接求解 start_time(True),还是以析取图模型间接求解(False) + solution = JSSolution(problem, direct_mode=False) ``` -- 实施算法,计算或者优化这个解 +- 实施算法,计算或者优化这个解。 + + - 对于以`start_time`为变量描述的数学模型,直接求解并更新每个工序即可。 - - 对于以`start_time`为变量描述的数学模型,直接求解每个工序的`start_time`即可 - - **对于以析取图描述的模型,需要先求解工序的顺序,然后显式地调用 `solution.evaluate()` 递推出`start_time`** + ```python + OperationStep.update_start_time(t) + ``` + - 对于以析取图描述的模型,需要先求解工序的顺序,然后依次调度工序即可。其中,`update_time`参数指明是否及时更新工序的`start_time`。 + ```python + JSSolution.dispatch(op_or_op_list, update_time=True) + ``` -- 每次迭代得到更好的解后,显式更新问题的解 + +- 每次迭代得到更好的解后,显式更新给求解器,以便触发动态甘特图的更新、自定义回调函数的调用。 ```python - problem.update_solution(solution) + JSSolver.update_solution(solution) ``` 关键代码参考: ```python # user defined path, e.g. path/to/UserSolver.py -from jsp_fwk import (JSProblem, JSSolution, JSSolver) +from jsp import (JSProblem, JSSolution, JSSolver) class UserSolver(JSSolver): def do_solve(self, problem:JSProblem): - '''User defined solving process.''' + """User defined solving process.""" + + # (1) Initialize an empty solution and specify solving mode. + # * direct_mode=True, solve start time directly; + # * direct_mode=False, solve operations sequence first and deduce start time + solution = JSSolution(problem, direct_mode=False) - # (1) Initialize an empty solution from problem - solution = JSSolution(problem) + # (2) Solve or optimize the solution. + for op in solution.ops: + # option 1: solve and set start time directly + ... + op.update_start_time(solved_start_time) - # (2) Solve or optimize the solution, - # i.e. determine the start_time of OperationStep instances. - # Note to evaluate solution explicitly if disjunctive graph model. - ... - # solution.evaluate() + # option 2: solve sequence + ... + self.dispatch(op) - # (3) Update the solution for problem iteratively - problem.update_solution(solution) + # optional: update solution per iteration, + # triggering dynamic Gantt and callback + self.update_solution(solution) + + # (3) Update solution finally + self.update_solution(solution) ``` @@ -122,23 +137,46 @@ class UserSolver(JSSolver): - `callback` 在每次获得更好的解后执行自定义的动作,例如打印这个解 -以下示例调用上一节自定义的求解器 `UserSolver` 求解 `ft10` 问题。 +以下示例调用内置的规则指派类求解器 `PriorityDispatchSolver` 求解 `ft06` 问题。因为设置了`interval`参数,优化过程中会以2秒的频率动态更新甘特图。 ```python # run.py -from jsp_fwk import JSProblem -from path/to/UserSolver import UserSolver +from jsp import JSProblem +from jsp.solver import PriorityDispatchSolver # load benchmark problem -problem = JSProblem(benchmark='ft10') +problem = JSProblem(benchmark='ft06') # solve problem with user defined solver -s = UserSolver() -fun = lambda solution: print(f'makespan: {solution.makespan}') +s = PriorityDispatchSolver(rule='HH') +fun = lambda solution: print(f'current makespan: {solution.makespan}') s.solve(problem=problem, interval=2000, callback=fun) ``` +![](./images/2021-08-14-01.png) + + +**注意**:`solve()`是在子线程中进行的异步方法,所以如果需要获取优化结果,需要通过`JSSolver.wait()`方法来等待计算完成。下面示例获取最终结果,并绘制析取图。 + +```python +# start solving process +s.solve(...) + +# waiting +s.wait() +print('Solving time ', s.user_time) +print('Makespan ', s.solution.makespan) + +# explore solution +solution = s.solution +print('feasible solution:', solution.is_feasible) +solution.plot_disjunctive_graph() +``` + +![](./images/2021-08-14-02.png) + + ### (2)多个算法多个问题 当算法调试稳定后,我们需要测试它在不同规模问题上的表现,或者对比不同算法对相同问题的求解效率。针对此类场景,本框架内置了 `Benchmark` 类:排列组合输入的求解器和问题,然后进行多线程异步求解,最后对比结果。显然,`Benchmark` 类也适用于单个算法单个问题的场景。 @@ -148,8 +186,8 @@ s.solve(problem=problem, interval=2000, callback=fun) ```python # benchmark.py import logging -from jsp_fwk import (JSProblem, BenchMark) -from jsp_fwk.solver import (GoogleORCPSolver, PriorityDispatchSolver) +from jsp import (JSProblem, BenchMark) +from jsp.solver import (GoogleORCPSolver, PriorityDispatchSolver) # ---------------------------------------- # create problem from benchmark @@ -164,7 +202,7 @@ problems = [JSProblem(benchmark=name) for name in names] s1 = GoogleORCPSolver(max_time=300, name='or-tools') # priority dispatching -s2 = PriorityDispatchSolver(rule='t', name='pd-t-rule') +s2 = PriorityDispatchSolver(rule='HH', name='pd-HH') solvers = [s1, s2] @@ -178,18 +216,18 @@ benchmark.run(show_info=True) 结果示例: ``` -+---------+-----------+-------+---------+----------+---------+-------+ -| Problem | Solver | Scale | Optimum | Solution | Error % | Time | -+---------+-----------+-------+---------+----------+---------+-------+ -| ft06 | pd-t-rule | 6x6 | 55 | 60.0 | 9.1 | 0.0 | -| la01 | pd-t-rule | 10x5 | 666 | 666.0 | 0.0 | 0.0 | -| ft10 | pd-t-rule | 10x10 | 930 | 1082.0 | 16.3 | 0.1 | -| ft06 | or-tools | 6x6 | 55 | 55 | 0.0 | 0.1 | -| swv01 | pd-t-rule | 20x10 | 1407 | 1839.0 | 30.7 | 0.2 | -| la01 | or-tools | 10x5 | 666 | 666 | 0.0 | 0.4 | -| la38 | pd-t-rule | 15x15 | 1196 | 1387.0 | 16.0 | 0.6 | -| ft10 | or-tools | 10x10 | 930 | 930 | 0.0 | 4.2 | -| la38 | or-tools | 15x15 | 1196 | 1196 | 0.0 | 141.1 | -| swv01 | or-tools | 20x10 | 1407 | 1414 | 0.5 | 300.1 | -+---------+-----------+-------+---------+----------+---------+-------+ ++----+---------+----------+---------------+---------+----------+---------+-------+ +| ID | Problem | Solver | job x machine | Optimum | Solution | Error % | Time | ++----+---------+----------+---------------+---------+----------+---------+-------+ +| 1 | ft06 | or-tools | 6 x 6 | 55 | 55 | 0.0 | 0.1 | +| 2 | ft06 | pd-HH | 6 x 6 | 55 | 60.0 | 9.1 | 0.0 | +| 3 | la01 | or-tools | 10 x 5 | 666 | 666 | 0.0 | 0.1 | +| 4 | la01 | pd-HH | 10 x 5 | 666 | 666.0 | 0.0 | 0.0 | +| 5 | ft10 | or-tools | 10 x 10 | 930 | 930 | 0.0 | 14.9 | +| 6 | ft10 | pd-HH | 10 x 10 | 930 | 1082.0 | 16.3 | 0.0 | +| 7 | swv01 | or-tools | 20 x 10 | 1407 | 1432 | 1.8 | 300.3 | +| 8 | swv01 | pd-HH | 20 x 10 | 1407 | 1839.0 | 30.7 | 0.2 | +| 9 | la38 | or-tools | 15 x 15 | 1196 | 1196 | 0.0 | 300.3 | +| 10 | la38 | pd-HH | 15 x 15 | 1196 | 1387.0 | 16.0 | 0.2 | ++----+---------+----------+---------------+---------+----------+---------+-------+ ``` \ No newline at end of file diff --git "a/docs/2021-08-22-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232OR-Tools\347\272\246\346\235\237\346\261\202\350\247\243\345\231\250.md" "b/docs/2021-08-22-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232OR-Tools\347\272\246\346\235\237\346\261\202\350\247\243\345\231\250.md" index da57675..13d9c9d 100644 --- "a/docs/2021-08-22-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232OR-Tools\347\272\246\346\235\237\346\261\202\350\247\243\345\231\250.md" +++ "b/docs/2021-08-22-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232OR-Tools\347\272\246\346\235\237\346\261\202\350\247\243\345\231\250.md" @@ -81,19 +81,9 @@ def NewIntervalVar(self, start, size, end, name): pass ## 基于 `jsp_framework` 实现 -`OR-Tools` 的官方文档提供了一个求解作业车间调度问题的 [完整案例](https://developers.google.cn/optimization/scheduling/job_shop),本文将基于本系列的 `jsp_framework` 实现。 +`OR-Tools` 的官方文档提供了一个求解作业车间调度问题的 [完整案例](https://developers.google.cn/optimization/scheduling/job_shop),本文将基于本系列的 `jsp_framework` 实现。参考 [Python建模](2021-08-14-作业车间调度问题求解框架:Python建模.md) 部分,基本流程为: -- 基本流程(参考 [Python建模](2021-08-14-作业车间调度问题求解框架:Python建模.md) 部分): - - 自定义一个继承自 `JSSolver` 的 `GoogleORCPSolver` 类,然后重点实现 `do_solve()` 方法。 - - -- 完整代码参考: - - > https://github.com/dothinking/jsp_framework/blob/dev/jsp_fwk/solver/ortools.py - - -其中, +自定义一个继承自 `JSSolver` 的 `GoogleORCPSolver` 类,然后重点实现 `do_solve()` 方法。完整代码参考[ortools.py](https://github.com/dothinking/jsp_framework/blob/master/jsp/solver/ortools.py)。其中, - 为了避免求解规模太大而失去响应,人为设定运行时间的上限: @@ -105,14 +95,13 @@ def NewIntervalVar(self, start, size, end, name): pass - 为了实时输出当前最优解,定义如下执行回调函数的类: ```python - class VarArraySolutionPrinter(cp_model.CpSolverSolutionCallback): '''Output intermediate solutions.''' - def __init__(self, variables:dict, problem:JSProblem, solution:JSSolution): + def __init__(self, variables:dict, solver:JSSolver, solution:JSSolution): '''Initialize with variable map: operation step -> OR-Tools variable.''' cp_model.CpSolverSolutionCallback.__init__(self) self.__variables = variables - self.__problem = problem + self.__solver = solver self.__solution = solution def on_solution_callback(self): @@ -122,7 +111,7 @@ def NewIntervalVar(self, start, size, end, name): pass op.update_start_time(self.Value(var.start)) # update solution - self.__problem.update_solution(self.__solution) + self.__solver.update_solution(self.__solution) ``` 相应地,将普通的求解方式: @@ -144,8 +133,8 @@ def NewIntervalVar(self, start, size, end, name): pass ```python # benchmark.py -from jsp_fwk import (JSProblem, BenchMark) -from jsp_fwk.solver import GoogleORCPSolver +from jsp import (JSProblem, BenchMark) +from jsp.solver import GoogleORCPSolver # problems names = ['ft06', 'la01', 'ft10', 'swv01', 'la38', \ diff --git "a/docs/2021-08-28-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232\350\247\204\345\210\231\346\214\207\346\264\276\347\256\227\346\263\225.md" "b/docs/2021-08-28-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232\350\247\204\345\210\231\346\214\207\346\264\276\347\256\227\346\263\225.md" index 9b7af63..1ec3a42 100644 --- "a/docs/2021-08-28-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232\350\247\204\345\210\231\346\214\207\346\264\276\347\256\227\346\263\225.md" +++ "b/docs/2021-08-28-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232\350\247\204\345\210\231\346\214\207\346\264\276\347\256\227\346\263\225.md" @@ -38,9 +38,9 @@ class PriorityDispatchSolver(JSSolver): '''General Priority Dispatching Solver.''' def do_solve(self, problem: JSProblem): - solution = JSSolution(problem=problem) + solution = JSSolution(problem=problem, direct_mode=False) self.solving_iteration(solution=solution) - problem.update_solution(solution=solution) + self.update_solution(solution=solution) def solving_iteration(self, solution:JSSolution): @@ -50,19 +50,17 @@ class PriorityDispatchSolver(JSSolver): # dispatch operation by priority while head_ops: - # sort by priority - head_ops.sort(key=lambda op: self.__dispatching_rule(op, solution)) - # dispatch operation with the first priority - op = head_ops[0] + op = min(head_ops, key=lambda op: self.__dispatching_rule(op, solution)) solution.dispatch(op) - + # update imminent operations + pos = head_ops.index(op) next_job_op = op.next_job_op if next_job_op is None: - head_ops = head_ops[1:] + head_ops = head_ops[0:pos] + head_ops[pos+1:] else: - head_ops[0] = next_job_op + head_ops[pos] = next_job_op ``` 其中,定义规则的函数签名为: @@ -143,8 +141,8 @@ $$z_{i,j} = \left (t_{i,j}+w_{i,j} \uparrow, \,\, r_{i,j}-1.5\,p_{i,j} \downarro ```python -from jsp_fwk import (JSProblem, BenchMark) -from jsp_fwk.solver import PriorityDispatchSolver +from jsp import (JSProblem, BenchMark) +from jsp.solver import PriorityDispatchSolver # create problem from benchmark names = ['ft06', 'la01', 'ft10', 'swv01', 'la38', 'ta24', \ diff --git "a/docs/2021-08-29-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232PuLP\346\261\202\350\247\243\346\241\206\346\236\266.md" "b/docs/2021-08-29-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232PuLP\346\261\202\350\247\243\346\241\206\346\236\266.md" index 461cb45..5939305 100644 --- "a/docs/2021-08-29-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232PuLP\346\261\202\350\247\243\346\241\206\346\236\266.md" +++ "b/docs/2021-08-29-\344\275\234\344\270\232\350\275\246\351\227\264\350\260\203\345\272\246\351\227\256\351\242\230\346\261\202\350\247\243\346\241\206\346\236\266\357\274\232PuLP\346\261\202\350\247\243\346\241\206\346\236\266.md" @@ -130,9 +130,7 @@ PuLP 建模常用的API: ## 基于 `jsp_framework` 实现 -本文参考 [案例](https://github.com/KevinLu43/JSP-by-using-Mathematical-Programming-in-Python/),基于 `jsp_framework` 进行实现和集成,完整代码参考: - -> https://github.com/dothinking/jsp_framework/blob/dev/jsp_fwk/solver/pulp.py +本文参考 [案例](https://github.com/KevinLu43/JSP-by-using-Mathematical-Programming-in-Python/),基于 `jsp_framework` 进行实现和集成,完整代码[参考](https://github.com/dothinking/jsp_framework/blob/master/jsp/solver/pulp.py)。 ### 基本流程 @@ -160,7 +158,7 @@ class PuLPSolver(JSSolver): # assign pulp solution back to JSPSolution for op, var in variables.items(): op.update_start_time(var.varValue) - problem.update_solution(solution) # update solution + self.update_solution(solution) # update solution ``` !!! warning "注意" @@ -231,8 +229,8 @@ class PuLPSolver(JSSolver): ```python # (1) the max start time - for _, ops in solution.job_ops.items(): - last_op = ops[-1] + for job in solution.job_ops: + last_op = job.tail_job_op model += (s_max-variables[last_op]) >= last_op.source.duration ``` 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