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Improving Access to Acute Care. Using computer simulation & multi-objective goal programming techniques. Collaborators. John-Paul Oddoye Ph.D thesis Prof Mehrdad Tamiz and Dr Dylan Jones Management Mathmatics Group, UoP Dr Paul Schmidt, PHT & UoP Clinical supervisor. Simulation.
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Improving Access to Acute Care Using computer simulation & multi-objective goal programming techniques
Collaborators • John-Paul Oddoye • Ph.D thesis • Prof Mehrdad Tamiz and Dr Dylan Jones • Management Mathmatics Group, UoP • Dr Paul Schmidt, • PHT & UoP • Clinical supervisor
Simulation • Useful in complex non-linear systems where behaviour is difficult to predict • Cost-effective exploration of scenarios • Identification of critical rate-limiting steps
Goal programming • Complementary to simulation • “Multi-objective” - • Reconciliate divergent goals and outputs • Assign a relative weighting to goals • Allows priorities to be recognised • Trade-off analysis
Linking to: Quality Improvement tools DEFINE MEASURE ANALYSE IMPROVE CONTROL Lean – focuses on value-added work and eliminating waste VALUE DEMAND FLOW RESOURCES EFFICIENCY and SPEED Six Sigma – focuses on eliminating defects and reducing variation in processes EFFECTIVENESS
Methodology • Model Description process • Activities and Roles • Dependencies and Competing Activities • Networks and Sub-networks • Tactical and Probabilistic nodes • Policies • Data Collection • Demand generator • Activity time-and-motion studies • Model training • Model validation
T P Model Description Sub-networks Tactical nodes Probability nodes
Model Validation • Comparison to real patients flows • Length of stay (LOS)
Model Validation • Comparison to real patients flows • Length of stay (LOS) • Queue lengths
Model Validation • Comparison to real patients flows • Length of stay (LOS) • Queue lengths • Queue waits
Testing Scenarios: Bed numbers • Increase number of beds: • Decrease beds – 55: massive increase in waits and queue lengths
Testing Scenarios: Bed numbers • Finetuning • Impact on Staff
Testing Scenarios: Consultant WR 1 WR/day 2 WRs/day
Six Sigma % Defects Sigma Score P1 x P2 x P3 x P4 = Sigma score 0.80 x 0.7 x 0.75 x 0.9 = 0.375 DEFECT RATE = 62.5%
Summary • Evaluate use of our main resources: beds, nurses and doctors time • Suggest optimal solutions for resolving sometimes conflicting objectives: Cost-effectiveness, staffing, patient and staff satisfaction and bed use • Systematic improvement • Flexible tool – many future uses