Conventional approach for solving replenishment lot size problem is by using the differential calculus with the need of applying the first-order and second-order differentiations to the long-run average production-inventory cost. A recent published paper used conventional method to determine optimal lot size for an integrated production-delivery system with scrap and cost lessening distribution...

correct estimation of water inflow into underground excavations can decrease safety risks and associated costs. researchers have proposed different methods to asses this value. it has been proved that water transmissivity of a rock joint is a function of factors, such as normal stress, joint roughness and its size and water pressure therefore, a laboratory setup was proposed to quantitatively m...

In this paper, we consider the single vendor single buyer integrated production inventory problem. We relax the assumption of deterministic demand and assume that the lead time is varying lineraly with the lot size. The lead time is composed of a lot size-dependent run time and constant delay times such as moving, waiting and setup times. A solution procedure is suggested for solving the propos...