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        58 August 31, 2006  2:55  Fortifying Six Sigma with OR/MS Tools
          Six Sigma is well known to be a highly applied and result-oriented quality engineer-
        ing framework and curriculum as compared to other programs such as the Certified
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        Quality Engineer programs run by the American Society of Quality. The basis of its
        strength does not lie in each individual tool but in the effective integration of the vari-
        ous tools, with a strong emphasis on statistical thinking in the reduction of variability
        in products and processes. However, as discussed in the preceding sections, tools and
        techniques within the existing Six Sigma framework are inadequate to deal with many
        problems in product and service delivery processes. In a bid to close the gap, a stronger
        Six Sigma toolset containing OR/MS techniques capable of dealing with many of such
        problems has been proposed. The linking and sequencing of the proposed tools are
        driven towards a practical integration within the Six Sigma DMAIC framework.


               5.4 CASE STUDY: MANPOWER RESOURCE PLANNING


        This case study focuses on the application of the newly proposed OR/MS tools for
        efficient manpower resource allocation. Some details associated with the Six Sigma
        project have been deliberately left out for reasons of confidentiality. However, per-
        tinent infomation relating to the analysis with the newly proposed OR/MS tool is
        provided to demonstrate its effectiveness.
          Here, we give an illustration of how the Six Sigma framework is applied to reduce
        the waiting times for a retail pharmacy in a hospital. This investigation was prompted
        by complaints about the long waiting times for drug prescriptions to be dispensed.
        Initially, continuous efforts were made to expedite the work flow by the pharmacy
        staff without a systemic examination of relevant work processes. These efforts turned
        out to be insufficient in achieving the waiting time target set by the management for
        the pharmacy.
          In the Define phase, external Six Sigma consultants, together with the hospital
        management, selected this particular project to reduce the waiting times of patients in
        the central pharmacy given the urgency and proximity of the process to the customers.
        Furthermore, as there were multiple satellite pharmacies with similar processes to
        those of the central pharmacy, the project would be able to reap benefits beyond this
        particular department. The success of this project would enable the Six Sigma team to
        garner more extensive buy-in and support from the management and other hospital
        staff. Such internal ‘marketing’ efforts are essential for sustainable implementation
        and successful execution of future Six Sigma projects that will deal with increasingly
        difficult problems.
          Four major tasks were identified in the current process -- typing, packing, checking,
        and checking and dispensing (or dispensing for short). The arrival rates of prescrip-
        tions to the pharmacy were measured based on counts of arrivals each 10 minutes.
        The profile of estimated arrival rates at each 10 minutes interval is shown in Figure
        5.1. After accounting for outliers in the profile and reasons for high arrival rates in
        some particular instances as shown in Figure 5.1, the profile was discretized and
        two distinct arrival rates identified by visually examining the data. Although the
        profile can be more accurately discretized by having additional segments, only two
        distinct arrival rates were identified in preliminary investigations after accounting for
        practical considerations related to manpower allocations and sources of variations,
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