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Introduction of Operations Research
Overview of the operations research modelling approach introduction to linear programming solving linear programming problems - the Simplex Method duality theory and sensitivity analysis other algorithms for linear programming the transportation and assignment problems network analysis, including Pert-CPM dynamic programming game theory integer programming non-linear programming Markov chains queueing theory the application of queueing Theory inventory theory forecasting Markovian decision processes and applications decision analysis simulation. Expand
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Introduction to Operations Research (10th ed.)
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X-Bar- and R-Chart Control Limits Based on A Small Number of Subgroups
A common rule of thumb is that conventional control limits for X-bar and R charts, no standards given, should be based on at least 25 subgroups. This article presents information for evaluating theExpand
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Introduction to operations research -8/E
  • F. Hillier
  • Computer Science, Engineering
  • 22 March 2002
  • 93
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Finite Queues in Series with Exponential or Erlang Service Times - A Numerical Approach
This paper considers a queueing system consisting of N service channels in series where each channel has an exponential or Erlang holding time and (except for the first channel) a finite queue, and where the input process is such that the first queue is never empty. Expand
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On the Optimal Allocation of Work in Symmetrically Unbalanced Production Line Systems with Variable Operation Times
This paper provides results related to the optimal design of unpaced production lines. It has been shown previously that unbalancing an unpaced production line in an appropriate way will increase itsExpand
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Efficient Heuristic Procedures for Integer Linear Programming with an Interior
  • F. Hillier
  • Mathematics, Computer Science
  • Oper. Res.
  • 1 August 1969
Some heuristic procedures for seeking a good approximate solution of any pure integer linear programming problem that are computationally feasible for problems having hundreds of variables and constraints. Expand
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Mean and Variance Control Chart Limits Based on a Small Number of Subgroups
A previous article [9] described how a small number of subgroups can be used to set statistically sound control limits for X-bar- and R-charts. However, if the power of the charts is of paramountExpand
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The Assignment of Extra Servers to Stations in Tandem Queueing Systems with Small or No Buffers
We consider systems of finite queues in series when the queue capacities (buffers between stations) are small or even zero. Expand
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