Intermittent Demand Forecasting. John E. Boylan

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order overplanning forecasting method to assist MTO manufacturers in dealing with intermittent demand. The method aims at fully exploiting early information that the prospective and regular customers generate during their purchasing process. It uses as forecasting unit each single customer order instead of the overall demand for the master production schedule (MPS) unit. So, the forecast unit is distinguished from the MPS planning unit. The expected requirements for a module (that belongs to a particular order) are overestimated. This is to take into account the sources of uncertainty within the planning horizon, namely order acquisition, actual due date, system configuration (number and types of apparatus), and apparatus configuration (modules) by implicitly incorporating in them the slack necessary to handle those uncertainties. This is done by introducing redundant configurations, so as to satisfy any request that may actually be received. The demand forecast for the MPS unit is obtained by adding up the requirements included in the individual forecast orders.

      In order overplanning, forecasting is not the numerical result of an algorithm for analysing historical data but rather an organisational process, closely linked to the purchasing practices of the customer. In fact the method relies upon the capabilities of Sales to anticipate future requirements by continuously gathering information from customers and to exchange this subjective information with Manufacturing. The benefits associated with the use of this method can be realised only in an industrial MTO context, when (i) there is a certain amount of information available on customers' anticipated future requests and (ii) the information provided by the customers, during their purchasing process, has some predictive power.

      Note 2.2 Cessation of Replenishment and Stock Write Off

      Note 2.3 External and Internal Lead Times

      An implicit assumption often made in inventory theory is that there is no time elapsing between receiving an order from the supplier(s) and making that order available for customers. The reality, though, is different as there are many situations when that time difference not only exists but is quite significant too. Unloading goods upon receipt, incoming goods inspection, moving the received items to their allocated space (especially in large warehouses), and updating the information system to reflect the receipts, are not necessarily trivial exercises, time‐wise, and this should be taken into account when calculating lead times.

      In summary, lead times consist of two time components: (i) external supply lead time (time difference between placing an order and receiving it); (ii) internal lead time (time difference between receiving an order and making it available for customers). However, the latter is usually ignored and the terms ‘lead time’ and ‘supply lead time’ are (wrongly) used interchangeably.

      Note 2.4 Renewal Processes

      In continuous review inventory control, it is only necessary to consider making replenishment decisions just after a demand has occurred. This is true for Poisson and Bernoulli processes, where the time between demands is exponentially and geometrically distributed, respectively, and hence the demand process is memoryless (see Chapter 4). However, for renewal demand processes, including Erlang arrival processes that are not memoryless, this is no longer true in general (see Chapter 5). Rather, for these processes the passage of time itself may carry information about the demand process. Thus, it may be optimal that a certain time span should trigger a replenishment order, even if a demand has not occurred. Therefore, an order may not only be triggered by a change in the inventory position (defined in the usual way). Heuristically, and for practical purposes, replenishment orders may, of course, be allowed only at the time instances just after a demand has occurred (or at predetermined time intervals, as in a periodic review system). This issue has implications for the kind of information that is useful for inventory control purposes but is not discussed further in this book.

      Note 2.5 Optimisation of (R,S) and (s,Q) Systems

      For optimisation of control parameters, the results obtained for the left-parenthesis upper R comma upper S right-parenthesis system can be easily transferred to an left-parenthesis s comma upper Q right-parenthesis system by substituting s for upper S, upper L for upper L plus upper R, and upper Q for upper D slash upper R (where upper L is the lead time and upper D the annual demand). The left-parenthesis upper R comma upper Q right-parenthesis combination does not take into account the variability of demand and hence should not be applied in a probabilistic demand context.

      3.1 Introduction

      In Chapter 2, we reviewed inventory rules that may be used to manage the stock of intermittent demand items, paying particular attention to the left-parenthesis upper R comma s comma upper S right-parenthesis and left-parenthesis upper R comma upper S right-parenthesis policies. In both of these policies, the inventory position is reviewed every upper R periods, and enough stock is ordered to raise it to the order‐up‐to level, upper S, also known as the OUT level. We noted that left-parenthesis upper R comma upper S right-parenthesis is often used for intermittent demand items because of its simplicity and robustness.

      The left-parenthesis 
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