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Production Planning with Capacitated Resources and Congestion (Hardcover, 1st ed. 2020)
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Production Planning with Capacitated Resources and Congestion (Hardcover, 1st ed. 2020)
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This book presents a comprehensive overview of recent developments
in production planning. The monograph begins with an introductory
chapter reviewing the need for these production planning models,
that operate by determining time-phased releases of work into the
facility or supply chain, relating these to the Manufacturing
Planning and Control (MPC) and Advanced Planning and Scheduling
(APS) frameworks, that form the basis of most academic research and
industrial practice. The extensive body of work on Workload Control
is also placed in this context, and proves the need for improved
models with a discussion of the difficulties, these approaches
encounter. The next two chapters present a detailed review of the
state of the art in optimization models based on exogenous planned
lead times, and examines the cases where these can take both
integer and fractional values. The difficulties arising in
estimating planned lead times are consistent with factory behavior
which are highlighted, noting that many of these lead to non-convex
optimization models. Attempts to address these difficulties by
iterative multimodel approaches, that combine simulation and
mathematical programming, are also discussed in detail. The next
three chapters of the volume address the set of techniques
developed using clearing functions, which represent the expected
output of a resource in a planning period, as a function of the
expected workload of the resource, during that period. The chapters
on this subject propose a basic optimization model for multiple
products, discuss the difficulties of this model and some possible
solutions. It also reviews prior work, and discuss a number of
alternative formulations of the clearing function concept with
their respective advantages and disadvantages. Applications to lot
sizing decisions and a number of other specific problems are also
described. This volume concludes with an assessment of the state of
the art described in the volume, and several directions for future
work.
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