Tools › Operations Research

Operations Research

9 tools in 6 sections. Each tool page shows the method with the numbers substituted, its references and the published examples it reproduces.

Optimization 2

  • Linear Programming Solves a small linear or integer program typed in plain algebra (an objective line, then one constraint per line) and reports what goes into the memo: the optimal…
  • Transportation and Assignment Solves the transportation, transshipment and assignment problems of operations research the way the textbooks work them, step by step: the table is balanced with a dummy…

Queueing and Simulation 1

  • Queueing and Capacity Steady-state performance of the standard queueing models and the number of servers a service level needs.

Scheduling 2

  • Shift Scheduling Finds the cheapest or smallest staff that covers a cyclic demand: the requirement in every period of the day or week is pasted in, the candidate shifts are typed (start,…
  • Job Shop Scheduling and Sequencing Sequences jobs on one machine, through a flow shop or through a job shop with its own routings and compares the schedules.

Inventory and Supply Chain 1

  • Inventory Policy Lot sizes, reorder points and stocking levels from the classical inventory models, each with its equations written out and the substituted numbers: the economic order…

Decision Analysis 2

  • Decision Analysis Decision making under uncertainty from a payoff table of alternatives against states of nature: the classical criteria (maximax, maximin, minimax regret, Hurwicz,…
  • Multi-Criteria Decision (AHP, TOPSIS) Ranks alternatives against several criteria from one decision matrix: the analytic hierarchy process with pairwise comparison matrices (principal eigenvector by the…

Networks and Routing 1

  • Network Flow and Routing Solves the classical network problems of operations research from a pasted arc list and prints every step the way a textbook works them: the shortest path by Dijkstra's…