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A Study of the Lot-Sizing Polytope

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  • Atamturk, Alper
  • Munoz, Juan Carlos

Abstract

The lot-sizing polytope is a fundamental structure contained in many practical production planning problems. Here we study this polytope and identify fact-defining inequalities that cut of all fractional extreme points of its linear programming relaxation, as well as liftings from those facets. We give a polynomial-time combinatorial separation algorithm for the inequalities when capacities are constant. We also report on an extensive computational study on solving the lot-sizing problem for instances up to 365 time periods with varying cost and capacity characteristics.

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  • Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt6zz2g0z4, University of California Transportation Center.
    • Handle: RePEc:cdl:uctcwp:qt6zz2g0z4
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    References listed on IDEAS

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